TS EAMCET · Maths · Trigonometric Ratios & Identities
\[ \begin{aligned} & \left.\sin ^2 \beta^{\circ}\right)+\sin ^2\left(6^{\circ}\right)+\sin ^2\left(9^{\circ}\right)+\ldots+\sin ^2\left(84^{\circ}\right) \ & +\sin ^2\left(87^{\circ}\right)+\sin ^2\left(90^{\circ}\right)= \end{aligned} \]
- A \(\frac{31}{2}\)
- B \(\frac{39}{2}\)
- C \(\frac{59}{2}\)
- D 36
Answer & Solution
Correct Answer
(A) \(\frac{31}{2}\)
Step-by-step Solution
Detailed explanation
We have, \[ \begin{aligned} \sin ^2\left(3^{\circ}\right)+\sin ^2\left(6^{\circ}\right)+\sin ^2\left(9^{\circ}\right)+ & \ldots+\sin ^2\left(84^{\circ}\right) \\ & +\sin ^2\left(87^{\circ}\right)+\sin ^2 90^{\circ} \end{aligned} \]…
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